By name: mathematics-and-physics description: Math and physics foundations — category/graph/complexity/chaos theory, geometry, measure/probability, numerics.
mathematics and physics
Category skill (blueprint pack). The description above is the only thing the
router sees — broad and generic on purpose. The fat detail lives in the
blueprints below; open the one that matches and read it in full.
Governs its own form per .claude/rules/rules-are-small-carved-sentences-pointing-to-docs.md
and .claude/rules/mirror-beacon-register-discipline.md (carved sentence = hub /
Beacon; blueprint = satellite / Mirror). The directory is an independent shipping unit.
Blueprints
category-theory-expert— "Category theory — functors, natural transformations, Yoneda, adjunctions, monoidal categories, (co)limits."graph-theory-expert— Graph theory — BFS/DFS, shortest paths, flow/matching, spectral, planarity, treewidth; DBSP DAGs and join graphs.complexity-theory-expert— "Complexity theory — Kolmogorov, Shannon entropy, logical depth, P/NP/PSPACE/BQP, random vs complex."chaos-theory-expert— "Chaos theory — Lyapunov exponents, strange attractors, bifurcation, fractal dimension, KAM, chaos vs noise."differential-geometry-expert— Differential geometry — manifolds, tensors, variance, parallel transport, curvature, fiber bundles, gauge bridge.measure-theory-and-signed-measures-expert— Measure theory — σ-algebras, signed measures, Hahn/Jordan/Radon-Nikodym, ZSet multiplicity, retractions.probability-and-bayesian-inference-expert— Bayesian inference — priors, posteriors, MCMC, variational inference, KL divergence, intervals, Zeta.Bayesian.numerical-analysis-and-floating-point-expert— IEEE 754, ULP bounds, condition numbers, Kahan summation, rounding, cancellation, denormals, BV64/Int62 exact math.applied-mathematics-expert— Applied mathematics — numerical linear algebra, optimization, inference, signal processing, spectral methods on data.theoretical-mathematics-expert— Theoretical mathematics — algebra, category theory, topology, measure/model theory, research-grade proofs.mathematics-expert— Mathematics umbrella — proof conventions, citation hygiene, LaTeX, Lean/Z3/TLA+/FsCheck routing across fields.duality-expert— Duality as structural lens — LINQ↔Rx, pull↔push, monad↔comonad, arrows-reversed, limits↔colimits, de Morgan.variance-expert— "Co/contravariance — type-system variance, Liskov substitution, .NET variant interfaces, variance in F# and C#."physics-expert— Physics — entropy, tropical semiring, anti-entropy dynamics, dimensional reasoning, load-bearing vs rhetorical use.applied-physics-expert— Applied physics in Zeta — tropical semiring/stat-mech limits, anti-entropy CRDTs, Shannon sketch tuning.theoretical-physics-expert— "Theoretical physics — symmetry/group theory, QFT, general relativity, statistical mechanics, formal reasoning."